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Finding the Fourth Proportional to 6,866.60, 10,291.26 and 6,313.64

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Solution

The fourth proportional to 6,866.60, 10,291.26 and 6,313.64 is: 9,462.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.60 : 10,291.26 = 6,313.64 : x
  2. Step 2: Convert to fraction form
    6,866.60/10,291.26 = 6,313.64/x
  3. Step 3: Cross multiply
    6,866.60x = 10,291.26 × 6,313.64
  4. Step 4: Simplify right side
    6,866.60x = 64,975,310.79
  5. Step 5: Solve for x
    x = 64,975,310.79/6,866.60
  6. Step 6: Final answer
    x = 9,462.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.